# Example: Rotated polygons

Published 2012-02-26 | Author: Ismael Gutierrez Garcia

Extending the rotated triangle example by Alain Matthes, here are rotated hexagons, pentagons and squares.

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% Rotated polygons
% Author: Dr. rer. nat. Ismael Gutierrez Garcia
\documentclass{article}
\usepackage[usenames,dvipsnames,pdftex]{xcolor}
\usepackage{tikz}
\usepackage{ifthen}
\begin{document}
\newcounter{density}
\setcounter{density}{20}
\begin{tikzpicture}
\def\couleur{BlueGreen}
\path[coordinate] (0,0)  coordinate(A)
++( 120:6cm) coordinate(B)
++(60:6cm) coordinate(C)
++(0:6cm) coordinate(D)
++(-60:6cm) coordinate(E)
++(240:6cm) coordinate(F)
;
\draw[fill=\couleur!\thedensity] (A) -- (B) -- (C) --(D) -- (E) -- (F)-- cycle;
\foreach \x in {1,...,40}{%
\pgfmathsetcounter{density}{\thedensity+10}
\setcounter{density}{\thedensity}
\path[coordinate] coordinate(X) at (A){};
\path[coordinate] (A) -- (B) coordinate[pos=.10](A)
-- (C) coordinate[pos=.10](B)
-- (D) coordinate[pos=.10](C)
-- (E) coordinate[pos=.10](D)
-- (F) coordinate[pos=.10](E)
-- (X) coordinate[pos=.10](F);
\draw[fill=\couleur!\thedensity] (A)--(B)--(C)-- (D) --(E) -- (F) -- cycle;
}
\end{tikzpicture}

\setcounter{density}{20}
\begin{tikzpicture}
\def\couleur{LimeGreen}
\path[coordinate] (0,0)  coordinate(A)
++( 144:10cm) coordinate(B)
++(72:10cm) coordinate(C)
++(0:10cm) coordinate(D)
++(-72:10cm) coordinate(E)
;
\draw[fill=\couleur!\thedensity] (A) -- (B) -- (C) --(D) -- (E) --  cycle;
\foreach \x in {1,...,40}{%
\pgfmathsetcounter{density}{\thedensity+10}
\setcounter{density}{\thedensity}
\path[coordinate] coordinate(X) at (A){};
\path[coordinate] (A) -- (B) coordinate[pos=.10](A)
-- (C) coordinate[pos=.10](B)
-- (D) coordinate[pos=.10](C)
-- (E) coordinate[pos=.10](D)
-- (X) coordinate[pos=.10](E);
\draw[fill=\couleur!\thedensity] (A)--(B)--(C)-- (D) --(E)  -- cycle;
}
\end{tikzpicture}

\setcounter{density}{20}
\begin{tikzpicture}
\def\couleur{OrangeRed}
\path[coordinate] (0,0)  coordinate(A)
++( 90:12cm) coordinate(B)
++(0:12cm) coordinate(C)
++(-90:12cm) coordinate(D);
\draw[fill=\couleur!\thedensity] (A) -- (B) -- (C) --(D) -- cycle;
\foreach \x in {1,...,40}{%
\pgfmathsetcounter{density}{\thedensity+20}
\setcounter{density}{\thedensity}
\path[coordinate] coordinate(X) at (A){};
\path[coordinate] (A) -- (B) coordinate[pos=.10](A)
-- (C) coordinate[pos=.10](B)
-- (D) coordinate[pos=.10](C)
-- (X) coordinate[pos=.10](D);
\draw[fill=\couleur!\thedensity] (A)--(B)--(C)-- (D) -- cycle;
}
\end{tikzpicture}
\end{document}